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In this paper, a secure Convolutional Neural Network classifier is proposed using Fully Homomorphic Encryption (FHE). The secure classifier provides a user with the ability to out-source the computations to a powerful cloud server and/or…

Cryptography and Security · Computer Science 2018-08-14 Thomas Shortell , Ali Shokoufandeh

Fully homomorphic encryption (FHE) enables private inference by evaluating neural networks on encrypted data. In this way, we can delegate the computation to a third party server without ever revealing the user's data. Currently, the CKKS…

Cryptography and Security · Computer Science 2026-05-25 Philipp Kern , Lorenzo Rovida , Samuel Teuber , Edoardo Manino , Carsten Sinz , Alberto Leporati

We present automatically parameterised Fully Homomorphic Encryption (FHE) for encrypted neural network inference and exemplify our inference over FHE compatible neural networks with our own open-source framework and reproducible examples.…

Machine Learning · Computer Science 2022-10-19 George Onoufriou , Marc Hanheide , Georgios Leontidis

With the advent of functional encryption, new possibilities for computation on encrypted data have arisen. Functional Encryption enables data owners to grant third-party access to perform specified computations without disclosing their…

Cryptography and Security · Computer Science 2024-01-19 Prajwal Panzade , Daniel Takabi

We consider neural network approximation spaces that classify functions according to the rate at which they can be approximated (with error measured in $L^p$) by ReLU neural networks with an increasing number of coefficients, subject to…

Functional Analysis · Mathematics 2021-10-29 Philipp Grohs , Felix Voigtlaender

Incorporating fully homomorphic encryption (FHE) into the inference process of a convolutional neural network (CNN) draws enormous attention as a viable approach for achieving private inference (PI). FHE allows delegating the entire…

Cryptography and Security · Computer Science 2023-10-26 Jaiyoung Park , Donghwan Kim , Jongmin Kim , Sangpyo Kim , Wonkyung Jung , Jung Hee Cheon , Jung Ho Ahn

Homomorphic encryption (HE) and secret sharing (SS) enable computations on encrypted data, providing significant privacy benefits for large transformer-based models (TBM) in sensitive sectors like medicine and finance. However, private TBM…

Cryptography and Security · Computer Science 2025-07-04 Yuntian Chen , Zhanyong Tang , Tianpei Lu , Bingsheng Zhang , Zhiying Shi , Zheng Wang

In this paper, we investigate the expressivity and approximation properties of deep neural networks employing the ReLU$^k$ activation function for $k \geq 2$. Although deep ReLU networks can approximate polynomials effectively, deep…

Machine Learning · Computer Science 2024-01-12 Juncai He , Tong Mao , Jinchao Xu

While homomorphic encryption (HE) provides strong privacy protection, its high computational cost has restricted its application to simple tasks. Recently, hyperdimensional computing (HDC) applied to HE has shown promising performance for…

Cryptography and Security · Computer Science 2025-11-04 Jaewoo Park , Chenghao Quan , Jongeun Lee

Fully homomorphic encryption (FHE) supports only additions and multiplications, so FHE-only neural-network inference typically replaces ReLU with polynomials fitted over empirical activation intervals. Such interval fitting often requires…

Cryptography and Security · Computer Science 2026-05-25 Rui Li , Wenyuan Wu , Weijie Miao

The migration of computation to the cloud has raised concerns regarding the security and privacy of sensitive data, as their need to be decrypted before processing, renders them susceptible to potential breaches. Fully Homomorphic…

The use of Neural Networks (NNs) for sensitive data processing is becoming increasingly popular, raising concerns about data privacy and security. Homomorphic Encryption (HE) has the potential to be used as a solution to preserve data…

Cryptography and Security · Computer Science 2023-05-04 Ivone Amorim , Eva Maia , Pedro Barbosa , Isabel Praça

Universal approximation theory offers a foundational framework to verify neural network expressiveness, enabling principled utilization in real-world applications. However, most existing theoretical constructions are established by…

Machine Learning · Computer Science 2026-01-27 ZeYu Li , ShiJun Zhang , TieYong Zeng , FengLei Fan

Preserving data confidentiality during the fine-tuning of open-source Large Language Models (LLMs) is crucial for sensitive applications. This work introduces an interactive protocol adapting the Low-Rank Adaptation (LoRA) technique for…

Cryptography and Security · Computer Science 2025-05-13 Jordan Frery , Roman Bredehoft , Jakub Klemsa , Arthur Meyre , Andrei Stoian

Privacy-preserving federated learning (PPFL) aims to train a global model for multiple clients while maintaining their data privacy. However, current PPFL protocols exhibit one or more of the following insufficiencies: considerable…

Cryptography and Security · Computer Science 2025-09-09 Wenhan Dong , Chao Lin , Xinlei He , Shengmin Xu , Xinyi Huang

Prior work on Private Inference (PI) -- inferences performed directly on encrypted input -- has focused on minimizing a network's ReLUs, which have been assumed to dominate PI latency rather than FLOPs. Recent work has shown that FLOPs for…

Cryptography and Security · Computer Science 2024-06-25 Nandan Kumar Jha , Brandon Reagen

This paper explores the use of partially homomorphic encryption (PHE) for encrypted vector similarity search, with a focus on facial recognition and broader applications like reverse image search, recommendation engines, and large language…

Cryptography and Security · Computer Science 2025-03-11 Sefik Serengil , Alper Ozpinar

Homomorphic encryption is one of the main solutions for building secure and privacy-preserving solutions for Machine Learning as a Service. This motivates the development of homomorphic algorithms for the main building blocks of AI,…

Cryptography and Security · Computer Science 2024-10-16 Wonhee Cho , Guillaume Hanrot , Taeseong Kim , Minje Park , Damien Stehlé

Audio and speech data are increasingly used in machine learning applications such as speech recognition, speaker identification, and mental health monitoring. However, the passive collection of this data by audio listening devices raises…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-16 Tu Duyen Nguyen , Adrien Lesage , Clotilde Cantini , Rachid Riad

We investigate non-adaptive methods of deep ReLU neural network approximation in Bochner spaces $L_2({\mathbb U}^\infty, X, \mu)$ of functions on ${\mathbb U}^\infty$ taking values in a separable Hilbert space $X$, where ${\mathbb…

Numerical Analysis · Mathematics 2022-12-15 Dinh Dũng , Van Kien Nguyen , Duong Thanh Pham